(a) V = R³, S = I 18 (b) V = R³, S = Y : 5x - 2y + 8z = 1 N 484 : x = y² S N Answer to (a): Answer to (b): (c) V is a vector space of all polynomials, S is a set of all polynomials P(t) such that P(0) = 0 Answer to (c):

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Subspace of Vector V? "Yes or No"

(a) V = R³, S =
I
18
(b) V = R³, S =
Y : 5x - 2y + 8z = 1
N
484
: x = y²
S
N
Answer to (a):
Answer to (b):
(c) V is a vector space of all polynomials, S is a set of all polynomials P(t) such that P(0) = 0
Answer to (c):
Transcribed Image Text:(a) V = R³, S = I 18 (b) V = R³, S = Y : 5x - 2y + 8z = 1 N 484 : x = y² S N Answer to (a): Answer to (b): (c) V is a vector space of all polynomials, S is a set of all polynomials P(t) such that P(0) = 0 Answer to (c):
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